formulas:
(hypotenuse)^2 = (side 1)^2 + (side 2)^2
sin θ = opposite side / hypotenuse
cos θ = adjacent side / hypotenuse
tan θ = opposite side / adjacent side
Problems:
1. Jane, whose eyes are 5 feet off the ground is standing 45 feet away from the base of a building. She looks up at a 78 degree angle of elevation to a point on the edge of the building's roof. How tall is the building?
Answer: _______________________
2. A pilot is traveling at a height of 25,000 feet above level ground. He looks down at an angle of depression of 7 degrees and spots the run way. As measured along the ground, how many miles is he away from the runway?
Answer: _______________________
3. A dog, who is 9.5 meters from the base of a tree, spots a squirrel at an angle of elevation of 42 degrees. What is the direct line distance between the dog and the squirrel?
Answer: _______________________
4. A ship is on the surface of the water, and its radar detects a submarine at a distance of 242 feet, at an angle of depression of 25 degrees. How deep underwater is the submarine?
Answer: _______________________
5. The sun is at an angle of elevation of 62 degrees. A tree casts a shadow 25 meters long on the ground. How tall is the tree?
Answer: _______________________
6. A 5’10” man stands 13 feet away from a building. Using a protractor to measure the angle between himself and the top of the building, he gets an angle of 37 degrees. How high is the building?
Answer: _______________________
7. A road bed rises 274 feet for each 3125 horizontal feet of road. Find the angle of inclination of the roadbed.
Answer: _______________________
© 2018 Laura Glassel – lizzietutoring.blogspot.com
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